Answer:
256/3 = 85 1/3 square inches
Step-by-step explanation:
The dimensions of the first inscribed triangle are 1/2 those of the original, so its area is (1/2)² = 1/4 of the original. The area of the original is ...
A = (1/2)bh = (1/2)(16/√2)(16/√2) = 64 . . . . square inches
The sum of an infinite series with first term 64 and common ratio 1/4 is ...
S = a1/(1 -r) . . . . . . for first term a1 and common ratio r
= 64/(1 -1/4) = 64(4/3) = 256/3 . . . . square inches
The sum of the areas of the triangles is 256/3 = 85 1/3 square inches.
Answer:
130 calories in the ice cream and 500 calories in the pie.
Step-by-step explanation:
Let the amount of calories in the scoop of ice cream be x. the amount of calories in the piece of pie be 3x-20. we know that x+3x-20=500.
4x-20=500
If we add twenty to both sides, we end up with:
4x=520
Divide both sides by four, and you get x=130.
there are 130 calories in the scoop of ice cream and 130*4-20=500 calories in the pie.
Answer:
69.08cm
Step-by-step explanation:
The formula for the circumference is
pi times diameter=circumference
Since we are using 3.14 and we know the diameter we can plug that in
3.14 times 22= circumference
69.08=circumference
